Please help!! Will mark BRAINLIEST!!

Answer:
[tex]f(x)=2^{x}[/tex]
Step-by-step explanation:
The shape of that function is exponencial.
All expoencial functtion passed though the point (0,1).
In that case we have the point (4,16) in other words: (4,2⁴)
[tex]f(x)=2^{x}[/tex]